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Question 1- Writing the equations for the following curve. Give reasons for your answer.
Question 2- Simplify the following trig expression to get cscθ:
cos4θ - sin4θ/sinθ cos2θ
Make a chart of the possible dimensions for a rectangle with an area of 196 m2. What are the optimum dimensions of the rectangle for minimizing the perimeter?
Mariella is selling raffle tickets for a school fundraiser. Adult tickets cost $4 and student tickets cost $3. If she has collected %165 so far, how many adult tickets did she sell?
Using the various properties Closure, Commutative etc. and Distributive, explain how you would compute the following, using quick and easy methods of association such as in 7+3 =10, 5'9=10 etc. and show the steps of your process.
Discrete Random Variable Defined on a Finite Sample Space. a) Prove that if X is a discrete random variable defined on a finite sample space, S, then we have E(X) = SUM X(a) P({a}).
A 410-ft weather tower used to measure wind speed has a guy wire attached to it 175 ft above the ground. The angle between the wire and the vertical tower 57degrees. Determine the lengh of the guywire.
Probability in poker, Find the probability of drawing a straight flush in poker
The coliform levels were assumed to vary according to a normal distribution with a mean of 10 organisms per liter and a standard deviation of 2 organisms per liter. what is the 90th percentile on this.
Find an equation of the plane that passes through the line of intersection of the planes x + y - z = 2 and 2x - y + 3z = 1 and passes through the point (-1,2,1).
A mini license plate for a toy car must consist of three numbers followed by a letter. Each number must be a 3,6, or 9. Repetition of digits is NOT permitted. Each letter must be an A, B, or C.
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
Select a counterexample to show that the statement is false. When an odd number is added to the product of two even numbers, the result will be even, 4.5 + 1 = 21. 21 is not even, 4.2 + 3 = 11. 11 in not even, 4.5 + 2 = 22. 22 is even, 3.5 + 4 = 1..
The manufacturer can produce the lamps at a cost of $4 per lamp. At what price should the manufacturer sell the lamps to generate the greatest possible profit?
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